{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 简介"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在如今计算机视觉领域，卷积（Convolution）可能是出现得最频繁的术语。当然这是因为卷积神经网络被广泛地用于解决多种计算机视觉任务，已经成为计算机视觉领域的一种默认的工具。但是卷积这个术语并不来自于计算机科学领域，而是来自于信号处理领域。卷积是信号处理中的一个重要操作。什么是卷积呢？顾名思义，就是先“卷”，再“积”。用专业术语来说，卷积的输入是两个函数，卷积操作先将一个函数翻转，然后将其对另一个函数进行滑动叠加，然后得到输出结果。在函数连续的情况下，叠加指的是对两个函数的乘积求积分；而在离散情况下是对函数加权求和，为简单起见我们统一称之为叠加。\n",
    "\n",
    "那么卷积这样一个操作有什么意义呢？为什么要先对输入的函数进行翻转呢？信号处理的教材通常会这样解释：卷积的结果不仅仅和当前输入的信号响应值有关，也和该信号在过去所有时刻的输入响应值有关系。这表明卷积不仅仅考虑当下的情况，也考虑过去时刻的情况，它是一种对相应效果的累积，所以有一个先“卷”再“积”的过程。这么描述仍然很抽象，我们举一个实际生活中的例子。试想你站在一个池塘边，往池塘里扔石子。扔一颗石子，池塘里就会产生水波，然后慢慢衰退，水面重新平静。这里扔石子就是输入信号，产生的水波就是对输入的响应。那么如果按一定速度不停地往池塘中扔石子呢？这种情况下，在水面上某处某一时刻的水波的大小如何计算？根据常识，我们知道当前时刻某处的水波大小不但和当前时刻扔的石子产生的水波有关，还和之前所有扔的石子产生的水波有关，是这些水波的累积结果。这便是先“卷”再“积”的过程，“卷”考虑了与当前输入相关的所有输入，而“积”则把这些输入的效果进行叠加。\n",
    "\n",
    "类似的，在图像处理中，卷积的计算是把每个像素周边相关的像素进行某种加权叠加，考虑了每个像素周边的信息，从而提取图像中的特征，这也为图像识别等计算机视觉任务打下了基础。\n",
    "\n",
    "在这一章节中，我们以一维卷积为引子，介绍卷积的数学定义与代码实现，然后推广到二维卷积。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 一维卷积"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据卷积的定义，一维卷积的公式如下：\n",
    "$$f(x) * k(x) = \\int f(\\tau)k(x-\\tau)d\\tau$$\n",
    "一维卷积的输入是一个一维信号$f(x)$和一个一维卷积核$k(x)$,$f(x)$是需要被卷积的对象，$k(x)$是用来进行卷积操作的函数，卷积核的长度一般是奇数，这是为了对称而设计的。通常情况下，输入向量$f(x)$的长度远远大于卷积核$k(x)$的长度。而输出向量的长度往往是由卷积操作的填充方式决定的。\n",
    "\n",
    "<img src=\"example.jpeg\">\n",
    "\n",
    "卷积的具体操作如上图所示。我们可以得出卷积操作的计算步骤：\n",
    "1. 变换：改变输入信号的横坐标，自变量由$x$变成$\\tau$；\n",
    "2. 反转：将其中一个信号反转；\n",
    "3. 平移：反转后的信号随变量$\\tau$平移，得到$k(x-\\tau)$。若$\\tau>0$，则向右平移，反之向左平移；\n",
    "4. 相乘：将$f(\\tau)$和$k(x-\\tau)$相乘；\n",
    "5. 积分：$f(\\tau)$和$k(x-\\tau)$乘积曲线下的面积即为在$x$时刻的卷积值。\n",
    "\n",
    "OK，根据以上步骤，我们可以定义一维卷积的函数如下。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 一维卷积\n",
    "def conv(lst1, lst2):\n",
    "    l1 = len(lst1)\n",
    "    l2 = len(lst2) \n",
    "    c=[0 for x in range(0,l1+l2-1)]  \n",
    "    for i in range(0,len(c)): \n",
    "           for j in range(0,l2): \n",
    "                if (i-j)>=0 and (i-j)<=(len(c)-l2): \n",
    "                    c[i]=c[i] + lst1[i-j]*lst1[j]\n",
    "    return c\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们分别定义两个向量a和b，并计算他们的卷积："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[16, 24, 17, 70, 49, 16, 64]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = [4,3,1,8]\n",
    "b = [4,3,1,8]\n",
    "conv(a,b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为了更直观的查看结果，我们分别绘制a、b与它们卷积得到的向量："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa2692e4b10>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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odXueGrQ12xto7+rxxc0Wpdxk2TGG5WRw1MgCr0MBtFCrIeg/cXx+pT9WHUq5xYr2jkRI88mWUy3UatAitsPE0nzKCrO9DkUp18SaO9i0p8k3/WnQQq0GqXcQU8xXyayUG6qj/upPgxZqNUiba5txWjoDOYhJqUOx7BhZ6WkcPa7I61D200KtBqW/P62jTVXYWFGHmeXDyMlM9zqU/bRQq0GJ2A7D87OYVJrvdShKuaats5tV2/wxiOn9tFCrQenvT/c9LKJUKKzaVk9nt/HdO0Ut1GrAahvbsfe1aH9ahU7E7t9y6q/c1kKtBkz70yqsqqMOR5TlMzw/y+tQ/oUWajVgEdshOyONmWP9c1dcqaHq6endcuq3/jRooVaDYNkxZlcUk5Wh6aPC4909TTS0dfnynaL+SVMD0tLRxdodDdqfVqFj9bf0fNafBi3UaoBWbK2jq8d/d8WVGirLdigtyKZyRJ7XofwbLdRqQCzbQQTmjfffqkOpoYjYMRZM8OeWUy3UakAidowpowopys30OhSlXLOrvo1tTqtv3ylqoVZx6+4xLK+p0/nTKnT83J8GLdRqADbsaqCpvcuX25eUGgrLdsjNTGf62GFeh3JAWqhV3Ky+44n89tSWUkMVsWPMHV9MZro/S2LcUYlIuogsF5GnEhmQ8i8r6jCmKIfy4lyvQ3GN5rVqau9i/c4G3/anYWAr6iuB9YkKRPmbMYbIlhhVE4b78q74EGhep7jlNQ49xr/9aYizUIvIOOBM4K7BXqihrZPvPbqKHXWtg30J5aHtda3samgL1YMubuQ1wNOrd3LXq+/R1d3jTmAqqSK2Q5rA3PHFXodyUPGuqG8GvgscNBNFZLGIWCJi1dbW/tvXV26t4y8rt3PqjS+z5JXNdGpSB0pI+9NDzmuAlzbu4Sd/W88nfv3a/oFVKjgsO8a0McMozPHvltPDFmoR+QSwxxhTfajvM8YsMcZUGWOqysrK/u3rJx5VxnPfWsSxk0bws79v4BO3vIZla1IHhRWNUZCdwdTR/rwrPlBu5TXA//v00fz2wnnUt3by6dvf5PuPrcJp7khE2Mplnd09rNha5+u2B8S3oj4eOFtEbOAh4GQRuW8wF6sYnsddX6zijovm09jWyWd++ybfeWQlMU1q37Nsh3mVJaSnhaY/7VpeiwinzxzD81cv4pITJ/JI9TZOvmEpf4pspafHuBmzctn6nQ20dHT7+kYixFGojTE/MMaMM8ZMAD4PvGiMuXCwFxQRPjZjNM9fs4hLF03iieXbOfmGpTz0do0mtU/Vt3SycXej71cdA+F2XgPkZ2fwf86czt+uOIEjygr47mOrOO+ON9mwq8GVmJX7In0tPb8/xOXZpsG8rAx+cMY0/nbFiUweWcj3H1/NZ377But2aFL7zbIaB2P8n8x+MXX0MP506bH88tNHs7m2iTNveY2f/X09ze1dXoemPsCyY4wryWVMkb+3nA6oUBtjlhpjPuFmAFNGF/Lwpcdw/WdnY+9r4azfvMZ/P7WOJk1q37CiMTLShDkV/r0rPhSJyOu0NOG8BRW8eM2H+ez8cSx55T1OvfFlnlmzE2P0naMfGGOwok4g3in64jEcEeEz88fx4jWLOK+qgrtf28KpN7zM31drUvtBxHaYUV5EXlaG16EETkl+Fr/49NE8dtmxFOVm8rX7lvEff4hQs6/F69BSXk2shdrGdt/3p8EnhbpfcV4WPz93Fo9//ThK8rP4+v3L+NLvI0T3NXsdWsrq6OphZQDuivvd/MrhPPXNE7j2zGm8vSXGaTe9zG9efJf2rm6vQ0tZ/f3pIMyu8VWh7jdvfAlPXn48//mJ6VRHHU676RV+9bwmtRfW7KinvasnVA+6eCUjPY2vnjiJ569ZxCnTRnL9s+9wxq9e5Y1Ne70OLSVVR2MMy8ngqJEFXodyWL4s1NCb1P9xwkReuGYRH50+ipuef4fTb36V197VpE6m/r3u8yv9v+oIijFFudx2wXz+8OUFdHUbvnDXW1z50HL2NLZ5HVpKidgO8ytLSAvAllPfFup+o4bl8JsvzOOe/1iIMYYL736Lbz64nN0NmtTJELEdJpbmU1aY7XUoofPhKSN59lsnccUpR/H06l2ccsPL3POmTbduU024WHMHm/Y0BaI/DQEo1P1OmlzGM1edxFWnHsU/1vYm9e9f36LzFRLIGEN11AnbY+O+kpOZztWnTeaZq05k9rhi/vMva/nkra+zcmud16GFWnU0OP1pCFChht6kvurUyTx71UnMqyzhuifXcc6tr7O8xvE6tFB6b28zseYO7U8nwaSyAu79ykJ+ff5cdje08cnbXufaP6+mvrXT69BCyYrGyEwXjh5X5HUocQlUoe43oTSfP355Abd+YR57m9o59/Y3+OETq6lv0aR2U39/OihvD4NORDhr9liev2YRXzx2Ag+8VcMpNyzlieXbdJuqyyzbYVZ5ETmZ6V6HEpdAFmroTeozj+6dr/Dl4yby0Ns1nHzDUh6t1qR2S8R2GJ6fxaTSfK9DSSnDcjL58dkz+OvlJ1Bekse3Hl7J+Xf+k017Gr0OLRTaOrtZta0uMG0PCHCh7leYk8l/njWdJ795AuNH5PHtR1byuSX/5J3dmtRDZdkx5leWhO2ggMCYWV7E45cdx08/NZN1Oxo441ev8stnNtDaodtUh2LVtno6u02g3ikGvlD3mzG2iMe+dhw/P3cWG3c18vFfvcovnt5AS4c+ij4YtY3t2PtatD/tsfQ04YIPVfLitz/MWbPHctvSzZx208u8sH6316EFVv+J40G6SR6aQg298xXOXzieF69ZxCfnlvPblzdz2o2v8OzaXV6HFjj9A/CDtOoIs9KCbG48bw4PLT6GnMx0vvJHi8X3WGzXE5MGzLIdjijLZ3h+ltehxC1UhbrfiIJsrv/sbP506bEUZGew+N5qvvrHCFtjOl8hXhHbITsjjZljg3FXPFUcM2kEf7/iRL53+lRefXcvp97wMr99WU9MildPj8GyY4HqT0NIC3W/hROH89QVJ/DDj0/ljc37OO2ml7lt6SY6ujSpD8eKOsyuKCYrI9QpEkhZGWlc9uEjeO7qkzjhqFJ+8fQGzrzlVd7eoicmHc6m2iYa2roC1faAkBdqgMz0NBafdATPX72IRZPL+OUzG/n4La/y5uZ9XofmWy0dXazdXq/9aZ8bV5LHnRdXcdfFVTS3d3PeHW9yzZ9Wsq+p3evQfCvSt+VUV9Q+NbY4lzsuquJ3X6qirbOb8+/8J1c/vIK9mtT/ZsXWOrp6gnVXPJWdOn0Uz119Epd9+Aj+smI7J9/wMg+8pScmHYhlO5QWZFM5Is/rUAYkZQp1v5OnjuK5by3i8o8cyZOrdnDy9Uu5759Rna/wPpbtINI7xVAFQ15WBt87fSpPX3kiU0cX8sMnVvPp377B2h31XofmKxE7xoIJwdtymnKFGiA3K51vf2wKT195EjPGFnHtn9dw7u1vsGa7JjX09qenjCqkKDfT61DUAB01qpCHFh/DjefNpmZfC2f9+jWue3ItjW361O6u+ja2Oa2B609DihbqfkeOLOCBSz7EzZ+bw3anlbN/8xo//utaGlI4qbt7DMuijp6PGGAiwrnzxvHiNR/m/IXj+cMbNqfe+DJPrdqR0k/t9u+fDlp/GuIo1CKSIyJvi8hKEVkrItclI7BkERE+ObecF65ZxIXHVPLHN21OueFl/royNZN6w64Gmtq7qEqB+dNhz+2ivEx++qlZPPH14ykrzObyB5Zz8e/ext6bmicmWbZDbmY608cO8zqUAYtnRd0OnGyMmQ3MAU4XkWMSG1byFeVm8l/nzOQv3zie0cNyuOLB5Vx099u8V9vkdWhJZfUdT5QiK+qUyO05FcX85Rsn8OOzprOipo6P3vwKNz33Dm2dqfUoesSOMaeimMz04DUSDhux6dVfrTL7PkK71Dx6XDF//sbx/Pc5M1i5rY7Tb36VG5/dmDJ7r62ow5iiHMqLc70OJeFSKbfT04QvHd97YtLpM0bzqxfe5fSbX0mZE5Oa2rtYv7MhsFtO4/qrRUTSRWQFsAd4zhjz1gG+Z7GIWCJi1dbWuh1nUqWnCRcdO4EXrlnEmUeP4ZYXN/GDx1eHvhVijCGyJUbVhOGBuys+WIfL7TDlNcDIYTnccv5c7vvKh0gT4Yu/f5vXU+DMxuU1Dj0muCMR4irUxphuY8wcYBywUERmHuB7lhhjqowxVWVlZW7H6YmRhTnc9Lk5XHXqUTy2bBt3v7bF65ASantdK7sa2lLqxPHD5XYY8xrghKNK+es3T+CIsny+fv8yovvC3beO2A5pAnPHF3sdyqAMqFljjKkDlgKnJyQan7ri5KM4Y+Zofvb39bzyTvBXVQfTfzxRivSn/0Uq5nZBdgZ3XlyFCFxyj0VTe3gnTVZHY0wdPYzCnGBuOY1n10eZiBT3fZ4LnApsSHRgfpKWJlz/2dlMHlXI5Q8sY0tI75pH7BgF2RlMHR28u+KDobkNlSPyufUL89hc28y3Hl4RyqcZO7t7WF5TF9j+NMS3oh4DvCQiq4AIvX28pxIblv/k960+0tOES+6xQvkAgWU7zKssIT0tNfrTaG4DcPyRpVx75jSeW7ebm55/x+twXLd+ZwMtHd2B7U9DfLs+Vhlj5hpjjjbGzDTG/FcyAvOjiuF53HbBfOy9zVz10IpQPXZe39rJxt2Nqdaf1tzu86XjJnBe1Th+/eIm/rZqp9fhuCoSgi2nwdtQ6LFjjxjBj86azgsb9nDDsxu9Dsc1y2ocjAl2MqvBExH++5MzmV9ZwrcfWRmqGSHV0RjlxbmMKQrullMt1INw4TGVnL9wPLct3cxfV+7wOhxXWHaMjDRhTkUw74qrocvOSOf2C+dRnJfJ4nuqQzFZ0hhDxHYC3Z8GLdSDIiJcd/YMFk4YzncfXRmKYU4R22HG2GHkZWV4HYry0MjCHJZcVMXepna+ft+ywD/oVRNrobaxPdD9adBCPWhZGWncduE8RuRnc8k9FrWNwV19dHT1sHJrXeCTWblj1rgifvmZo3nbjvHjJ9d6Hc6QhKE/DVqoh6S0IJslF8/Haengsvuqae8K5uyENTvqae/qCfzbQ+Wec+aU87VFR/DAWzXc+8+o1+EMWnU0RmFOBpNHFnodypBooR6iGWOLuP6zs7GiDj/6y9pAPmZu9R1PND8FJuap+H3nY1M4eepIrvvrWv75XjCProvYDlWVJaQFfMupFmoXfOLosVz+kSN5KLKVe94M3uojYjtMGJFHWWG216EoH0lPE27+/BwqR+Tx9fuXsTXW4nVIA+I0d7BpT1MoWnpaqF1y9WmTOXXaKP7rqXW8EaAhN8YYqqNOKJJZuW9YTiZ3XlxFZ3cPl9xj0Rygx8z3j0QIwbMBWqhdkpYm3PS52UwqzefrDyyjZl8wVh/v7W0m1tyh/Wl1UJPKCvjNF+bxzu5Gvv3IysA8Zh6JxshMF2aHYMupFmoXFeZkctcXqzAmOENu+vvTuqJWh7Jochk//Pg0nl6zi1+/uMnrcOJi2Q6zyovIyUz3OpQh00LtssoR+dx2wTw21TZxdQCG3ERsh+H5WUwqzfc6FOVzXzlhIufOK+em59/hmTW7vA7nkNo6u1m9rT40CxAt1AnQP+Tm2XW7ufmFd70O55Cqow7zK0tS5qAANXgiws8+NYs5FcVc/acVbNjV4HVIB7V6ez0d3T2h6E+DFuqE6R9yc8sL7/L31f4cclPb2M6Wvc3an1Zxy8lM546L5lOQncEl91jEmju8DumAIvu3nIYjt7VQJ8j7h9xc8yd/Drmpjur+aTVwo4blsOTiKnY3tPON+5fR2e2/x8wt2+GIsnxGFIRjy6kW6gT64JCbfT4bcmPZDtkZacwsT42DApR75lQU84tzZ/Hme/v4yVPrvA7nX/T09G05DdECRAt1gr1/yM1l9/tryE0k6jC7opjsjODfFVfJd+68cVxy4kT++GaUh96u8Tqc/TbVNlHf2hn4+R7vp4U6CfYPudkS4zqfDLlp6ehi7fZ67U+rIfn+GdM4aXIZ//cva/b3hb3WH8eCkOz4AC3USdM/5Ob+t2q4zwdDblZsraOrx4Tq7aFKvvQ04defn8u4kl+TZL8AAAsjSURBVDwuu6+a7XWtXoeEZTuUFmRTOSLP61Bco4U6ifqH3PzYB0Nuqm0HEZg3XlfUamiK8nofM2/v7GHxPRatHd5OkbSiMapCtuVUC3US+WnITSTqMGVUIUV5mZ7FoMLjyJEF3HL+XNbtbOA7j670bIrkrvo2tsZaQ9WfhjgKtYhUiMhLIrJeRNaKyJXJCCysPjjkpqUj+Y+Zd/cYlkWd0CXzQGluu+sjU0fy3Y9N5alVO7lt6WZPYrCi4etPQ3wr6i7gGmPMNOAY4BsiMj2xYYXbB4fcJHv1sWFXA03tXdqf1tx23dcWTeKcOWO5/tmNPL9ud9Kvb9kOuZnpTB8bri2nhy3UxpidxphlfZ83AuuB8kQHFnaLJpfxgzOm8ffVyR9ys3/8Y4qvqDW33Sci/L9PH83MsUVc9fAK3t3dmNTrW9EYcyqKyUwPV1d3QP81IjIBmAu8dYCvLRYRS0Ss2tpad6ILua+eOJFz55Zz43Pv8I+1yRtyE7EdxhTlUF6cm7Rr+t3BclvzeuByMtNZcvF8cjLTueQei/qWzqRct6m9i3U7GkK55TTuQi0iBcBjwFXGmH+bxmKMWWKMqTLGVJWVlbkZY2iJCD87dxazK4q5+uEVbNyVnNWHZcd0ENP7HCq3Na8HZ0xRLndcNI8ddW1c/uAyupLwmPnyGoceE86RvXEVahHJpDeR7zfGPJ7YkFJLTmY6Sy6aT352Bl+9J4KT4CE32+ta2VnfFrqbLYOluZ048yuH85NPzuTVd/fy86c3JPx6lu2QJjB3fPAPCvigeHZ9CHA3sN4Yc2PiQ0o9o4blcMdF83uH3DyQ2CE3/3tQQPjeHg6U5nbinbeggi8dN4G7X9vCo9XbEnotKxpj6uhhFOaEb8tpPCvq44GLgJNFZEXfx8cTHFfKmTu+hJ9/ahZvbN7HT/+2PmHXidgxCrIzmDo6XHfFB0lzOwmuPXMaxx85gh8+vpplNU5CrtHZ3cPymrpQ9qcBMg73DcaY1wBtZibBp+ePY/3OBu56bQvTxhTyuQXjXb+GZTvMHV9Mepr+L9XcTo6M9DR+c/48zrn1dS69t5onLz+B0UU5rl5j/c4GWjq6mR/Sll649rCEwPfPmMqJR5Vy7Z/X7G9TuKW+tZONuxu1P62SriQ/i7u+WEVLexeX3mvR1unuY+aW3btSD+uKWgu1z/SvPsaV5PG1+6rZ4eKQm2U1DsZof1p5Y/KoQm763BxWbqvnB4+vdvVBLysao7w4lzFF4dxyqoXah3qH3MynrbOHxfe6N+TGsmNkpAlzKsJ3V1wFw0dnjOaa0ybzxPLt3Pnqe668pjGGiO2EdjUNWqh968iRhdxy/hzW7mjgu4+tcmX1EbEdZowdRl7WYW9NKJUwl598JGfOGsPPn97ASxv3DPn1amIt1Da2h7Y/DVqofe3kqaP4zsem8OTKHdz+8tCG3HR09bBya10oHwZQwSIi/M9nj2ba6GFc8eByNtc2Den1wt6fBi3UvnfZoiM4e/ZY/ucfG3lh/eCH3KzZUU97V0+ok1kFR15WBksunk9WehqX/NGivnXwj5lb0RiFORlMHlnoYoT+ooXa5/qH3MwYO4wrH1rBpj2De8y8fweJnjiu/GJcSR63XzifmlgLVzy4nO6ewbX3IrZDVWUJaSHecqqFOgBys9JZclEVOZnpfPWPgxtyY9kOE0bkUVaYnYAIlRqchROHc905M3j5nVp++czAHzN3mjvYtKcp9C09LdQBMbY4l99eOI/tda0DHnJjjMGKOqFPZhVMF3yokguPGc8dr7zHE8sH9pj5/pG9leFu6WmhDpCqCf875OYXAxhy897eZmLNHdqfVr71o7Nm8KGJw/neY6tZubUu7p+LRGNkpguzQ77lVAt1wHxuwXi+dNwE7nptC4/FOeRG+9PK7zLT07jtgnmUFWSz+F6LPQ1tcf2cZTvMLC8iJzM9wRF6Swt1APUPuflBnENuLNuhJC+TI8rykxCdUoMzoiCbu75YRWNbF5feV33Yx8zbOrtZva0+JUYiaKEOoP7HzEcX5XDpvdXsqj/06qO/P60HBSi/mzZmGDeeN5vlNXVc++c1h3zQa/X2ejq6e0LfnwYt1IEV75Cb2sZ2tuxt1v60CozTZ47hylOO4tHqbfzudfug3xfZ39ILf25roQ6weIbcVEe1P62C58pTjuJjM0bx07+t49V3D3xWpWU7TCrLZ0RB+LecaqEOuMMNubFsh+yMNGaW60EBKjjS0oQbz5vD5FGFXP7Acuy9zf/y9Z4eQ3XUYUGKLEC0UIdA/5CbXzy9gaUfGHITiTrMrigmOyPcd8VV+ORnZ3DnxVWkCXz1HovGtv990GtTbRP1rZ0pM7JXC3UI9A+5mTp6GN9835Cb1o5u1m6vT4mbLSqcKobncesF89iyt5lvPbyCnr7HzCP7z/7UFbUKkH8ZcnOPRUNbJyu21tHVY1Ji+5IKr+OOKOVHZ03n+fV7uOG5jQBU2w6lBVlMGJHncXTJEc8p5L8TkT0isiYZAanB2z/kZl/vkJu3tuxDBOaN1xX1gWhuB8dFx1Ry/sIKbn1pM0+u3EEkGqOqMnW2nMazov4DcHqC41Au6R9ys3RjLbcv3cyUUYUU5WV6HZZf/QHN7UAQEa47eyYLJpTw7UdWsjXWmjL9aYijUBtjXgHcPWVVJVT/kJv2rp6U2GM6WJrbwZKVkcbtF85nRH4WkDr9aQDXzmQSkcXAYoDx48e79bJqkH501gwKczI5e/ZYr0MJNM1rfyktyOb3X17IY8u2Mau8yOtwkkbiOYtPRCYATxljZsbzolVVVcayrKFFptRBiEi1MabKpdeaQJy5rXmtEulQea27PpRSyue0UCullM/Fsz3vQeBNYIqIbBORryQ+LKUST3NbBcVhbyYaY85PRiBKJZvmtgoKbX0opZTPaaFWSimf00KtlFI+p4VaKaV8Lq4HXgb8oiK1QPQAXyoF9rp+weQIauxhjLvSGFOWzGDgkHkN4fx99rMwxn3QvE5IoT4YEbHceqIs2YIau8adHEGLt5/GnVyDjVtbH0op5XNaqJVSyueSXaiXJPl6bgpq7Bp3cgQt3n4ad3INKu6k9qiVUkoNnLY+lFLK57RQK6WUzyWtUIvI6SKyUUQ2icj3k3XdoQriAagiUiEiL4nIehFZKyJXeh1TPEQkR0TeFpGVfXFf53VM8QhibgcxryGFc9sYk/APIB3YDEwCsoCVwPRkXNuF2E8C5gFrvI5lADGPAeb1fV4IvBOE329AgIK+zzOBt4BjvI7rMDEHMreDmNd9cadkbidrRb0Q2GSMec8Y0wE8BJyTpGsPiQngAajGmJ3GmGV9nzcC64Fyb6M6PNOrqe+XmX0ffr/bHcjcDmJeQ+rmdrIKdTmw9X2/3kYAfnPDoO9MwLn0/g3ueyKSLiIrgD3Ac8YYv8etue2RVMrtZBVqOcC/8/tKKfBEpAB4DLjKGNPgdTzxMMZ0G2PmAOOAhSIS14HKHtLc9kCq5XayCvU2oOJ9vx4H7EjStVOSiGTSm8j3G2Me9zqegTLG1AFLgdM9DuVwNLeTLBVzO1mFOgIcJSITRSQL+Dzw1yRdO+WIiAB3A+uNMTd6HU+8RKRMRIr7Ps8FTgU2eBvVYWluJ1Gq5nZSCrUxpgu4HPgHvc3/Pxlj1ibj2kMV0ANQjwcuAk4WkRV9Hx/3Oqg4jAFeEpFV9BbA54wxT3kc0yEFNbcDmteQormtj5ArpZTP6ZOJSinlc1qolVLK57RQK6WUz2mhVkopn9NCrZRSPqeFWimlfE4LtVJK+dz/B1eCq/YsCuGGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(1)\n",
    "plt.subplot(1, 2, 1) #图一包含1行2列子图，当前画在第一行第一列图上\n",
    "plt.title('a')\n",
    "plt.plot(a)\n",
    "\n",
    "plt.figure(1)\n",
    "plt.subplot(1, 2, 2)#当前画在第一行第2列图上\n",
    "plt.title('b')\n",
    "plt.plot(b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa269453690>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(conv(a,b))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "重新设置a与b，并绘制相应的卷积图像："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa26957a0d0>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gIveKSFREdorI23MdmMmOweEEezt68jrtkSYibNm0ih2Hu3il1c5F9oORRHLFRzbqHatqqykLBixRZyDTO+p/AH6mqmuBs0luyzUFYE9HN8MJzWshcawPnbuc6rKgZw4VMHOz/2gPA8OJrLzwlwYDrFlSM1qcNJObNlGLyDzgncC/A6jqoKp25jowkx3ZKvzMVk15CVecu5yfvHKYE71DrsRgsufN8ZSdF/614ZAddJuBTO6oTyPZVew/UufLfV9EqsdfZA3WvSnW5lAaFE6rO+VHljfXblzFwHCCe19sdS0Gkx3RuIMINC3JTqKOhEO8caLfXsSnkUmiLgHOA76XOl+uBzjlsFBrsO5NsbjDmroaSoPu1Y3XLZvHeQ0LuP1ZKyoWupY2h8baairLgll5POtNnZlMfntbgVZVfTb1+b0kE7cpALEcHxaQqS0bV7G3o4en9x51OxQzB7G4Q3P9zI7emkp6d6P1pp7atIlaVePAQRGJpL70buC1nEZlsqIr1dzdrULiWB84aykLqkq9cKiAmaX+oRH2He3J6uHIS+dXEKoosYLiNDJ9P/xp4HYReRU4B/jL3IVksqUly4WfuagoDfKR81bwyPY47Y4nTio3M7SrrZuEZnc8iYgVFDOQUaJW1ZdT889nqeqVqno814GZucvHqS4zcc3GBoYTyj3brKhYiHI1niLhENG4Y/WLKdjORB+LxR1C5SWzbu6ebafV1XDh6bXc8ewBRuxkj4ITi3dRVhKgsTa7K4gi4Xk4/cO8ccLeaU3GErWPpZu75+OwgExdu3EVhzr7+K8W108qNzMUjTs0LakhOMvDAibzZkHRpj8mY4nap1Q1VaH3xrRH2iXr6lkSKue2Z6yoWGhytYIonaitoDg5S9Q+1dY1wIm+IU8UEscqDQa46m0reSzWTutxOy+vUBzvGaTdGcjJeJpfVcrS+RVWUJyCJWqf8lohcayrzm9AgDtdPqncZO7N8ZSbVgTpgqKZmCVqnxo9LMBjUx8AyxZUcvHaen70fCuDwwm3wzEZyHaPj/Ei4RB72rsZGrHxMBFL1D4VjTssCZWzcI7N3XNly6YGjnQP8PPX7KTyQhCNO8yvLGVJqDwnjx+pDzE4kmDfkZ6cPH6hs0TtU17ZOj6Z32qqY8XCSm63omJBiMW7iORwBZH1/JiaJWofGh5JsKu923OFxLECAeGajQ08vfcou9vtKCYvU1Va2nI7nk5PLfuzJXoTs0TtQ/uP9TI4nMhZ4Sdbfm/DSkqDYieVe9yhzj66B4Zz+g6tvCTI6sXVVlCchCVqH8p14SdbFteUc+n6pdz7wkH6Bu0kaq9Kj6dcF6Yj9SG7o56EJWofisYdApJ8O+l1125soKt/mJ+8aieVe1X6Lrc5xy/8kXCIA8d66RkYzunzFCJL1D4Ui3fRWFtNRWl2mrvn0vmrF9G0pMban3pYLO6wfEEl8ypKc/o86amVXVazOIUlah/y+oqPsUSELRsbeOVgJ9sPZe+kchG5VERiIrJbRE45kSh1ze+JyGsiskNE7sjak/tMvsZTeqrODhE4lSVqn+kbHGH/sd6CSdQAHzpvBZWlQW5/NjsnlYtIELgZuAxYB1wtIuvGXdMEfBm4UFXPBD6XlSf3mcHhBHs6uvMynlYurKKyNGgFxQlYovaZXe0OmuXm7rk2v7KUzWcv44GXDtPVn5VDTs8HdqvqXlUdBO4Crhh3zSeAm9O91VXV2vlN4PUjPQwnNC87XAMBobm+xgqKE7BE7TOjhR8Pbh2fypZNDfQNjfDAS4ey8XDLgYNjPm9NfW2sZqBZRJ4UkWdE5NKJHkhErheRbSKyraOjIxuxFZRouhVBnl74I2Fb+TERS9Q+E4s7VJQGWJXl5u65dtaKBZy1Yj63PZOVk8on2j43/kFLgCbgXcDVwPdFZMEpf0n1ltTpRhvq6urmGlfBicUdSgLCmrr8rCCKhOdxtGeQI90DeXm+QmGJ2mdicYemJaGsN3fPhy0bG2hp62bb/jmf9NYKrBzz+Qpg/Pq/VuBBVR1S1deBGMnEbcaIxR1Oq6umrCQ/qeLNgqLdVY+V0b++iOwTkd+IyMsisi3XQZnZi7UVzoqP8T549jJCFSXc9syci4rPA00islpEyoCrgK3jrnkA+G0AEVlMcipk71yf2G+S4yl/O1zTY9cKiiebycvkb6vqOaq6IWfRmDk51jNIR46au+dDVVkJHz5vBT/9TZyjc3jrq6rDwA3AI8BO4G5V3SEiN4nI5tRljwBHReQ14DHgz1T16Bz/F3yle2CY1uN9ROrzt3FqcU05tdVltkRvHJv68JF04afQColjbdnYwOBIgntemNtJ5ar6sKo2q+oaVf1W6ms3qurW1Meqqp9X1XWq+hZVvSsL4fvK6NbxPPeMsYLiqTJN1Ar8XEReEJHrJ7qg2KvjXlAoPT6m0lQfYvPZy6gu8/6uSr9zazxFwiFa2rpJ2En1o0oyvO5CVT0sIkuAR0UkqqqPj71AVW8BbgHYsGGD/Qu7oKXNYWFVKXU5au6eL/949bluh2BI7hCsLguyfEFlXp93bThE39AIB4/3FtzqpVzJ6I5aVQ+n/tsO3E9yQ4HxmGhqq2+umrub4hJrc2gOhwjkeQVReqrFCopvmjZRi0i1iITSHwPvBbbnOjAzM4mE0hJ3PHlGoik8qprs8eHCeGpKdX20eeo3ZTL1UQ/cn7pLKwHuUNWf5TQqM2OHOvvoGRzx/GEBpjB0OAMc7x1yZalndXkJDYuq7FiuMaZN1Kq6Fzg7D7GYOYiOVujtjtrMndvjyVZ+nMyW5/lES5slapM9b674cOcd2tpwiNeP9DAwbCf/gCVq34jGHVYsrKSmPNOFPMZMLtbmUBcqZ1F1mSvPHwmHGEmoHXycYonaJ2LxLiskmqxxq5CYln5um/5IskTtA4PDCfZ29Ni0h8mKkYTS4nLPmMbF1ZQFA1ZQTLFE7QN7OrqTzd0tUZss2H+0h4HhhKvjqTQYYM0SO0QgzRK1D6QLiW4Vfoy/eKUVwVpb+THKErUPROMOpUFh9WLbbmvmLtbmIAJNS9xN1M31Id440c+J3qwcz1bQLFH7QCzucNrimrw1dzf+Fos7rFpURaXLjbFGDxGweWpL1H4QixfuYQHGe7wyniKWqEdZoi5wXf1DHOrs88Qvlil8/UMj7Dva44lWBEvnVxCqKLFDBLBEXfB2tXmj8GP8YXd7Nwn1xngSESsopliiLnBu92Qw/pIeT145Jai5PkQ07mTjZPqCZom6wMXiDjXlJXlv7m78KRbvoqwkQGNtlduhAMk7e6d/mDdO9LsdiqssURe4aNyhub7GDgswWRGNOzQtqaEk6I3UkJ4rL/aCojd+GmZWRpu7e6DwY/zBKys+0qznR5Il6gLW7gxwom/IE4UfU/iO9wzS7gx4ajzNrypl6fwKS9RuB2Bmz2uFH1PY0tMLXhtP6YJiMbNEXcDS60u9dAdkCpfbhwVMZm04xJ72boZHEm6H4hpL1AUsGndYEipnoUvN3Y2/ROMO8ytLqZ9X7nYoJ4mEQwyOJNh3tMftUFyTcaIWkaCIvCQiD+UyIJM5rxV+TGGLxbuIhEOeW0GUHuPFPP0xkzvqzwI7cxWImZmRhLKrvdumPUxWqCotbd4cT2vqaggGpKgLihklahFZAXwA+P5sn+hE3xBfvPcVjvUMzvYhzBj7jvYwOJzwXOHHFKZDnX10Dwx7cjxVlAZprK2yO+oM/D3wRWDS2XwRuV5EtonIto6OjlO+/5vWEzzw8mE2f/cJdr5hTVbmyquFH1OYvHJYwGTWhueNHpBRjKZN1CJyOdCuqi9MdZ2q3qKqG1R1Q11d3Snfv6hpMff80dsZGknw4e89xc+2vzH7qA3RuENAoKm+xu1QjA+MLvX0aKKOhEMcONZL7+Cw26G4IpM76guBzSKyD7gLuFhEbpvNk529cgE/ueEiIuEQf3zbi3zn0RYSieJutjJbsXgXjbXVVJS629zd+EMs7rB8QSXzKkrdDmVCkXAIVWhp63Y7FFdMm6hV9cuqukJVG4GrgF+q6rWzfcIl8yq48xOb+MhbV/APv9jFJ29/kZ6B4nyVnIuWtm5b8TEFEblURGIisltEvjTFdR8RERWRDfmMz2vcPnV8OqOnvRRpb2pX1lFXlAb5m4+cxVcvX8fPX4vz4e89xcFjvW6EUpD6BpPN3b1Y+PECEQkCNwOXAeuAq0Vk3QTXhYDPAM/mN0JvGRpJsKej29PjaeXCKipLg0VbUJxRolbVX6nq5dl4YhHhuotWc+vHz+dwZx+bv/sET+05ko2H9r1d7Q7qkebuHnU+sFtV96rqIMkpuysmuO4bwF8DRd1Dc29HD0Mj6unxFAgIzfU1RVtQdH1n4jub63jwhouorSnno//+HD98el/RNwmfjh0WMK3lwMExn7emvjZKRM4FVqrqlBu4plvN5AfR1HSC18dTpIhPe3E9UQOsXlzN/Z+8gHc11/HVB3fwP+/fzuBw8e7rn05L3KGiNMCq2mq3Q/GqibbWjb76i0gA+A7whekeaLrVTH4QizuUBIQ1dd5eQRQJz+NI9yBHugfcDiXvPJGoAUIVpdzysQ188l1ruPO5A2z5/jNF+QPJRKzNoWlJiGDAW1t9PaQVWDnm8xXA4TGfh4D1wK9Sq5k2AVuLtaDY0uawenE1ZSWeSQcTKube1J76yQQDwhcvXcs/XX0uvzl0giu++yTbD51wOyzPSZ7q4u23qS57HmgSkdUiUkZytdLW9DdV9YSqLlbVxtRqpmeAzaq6zZ1w3RUtkJ4xxdzzw1OJOu2DZy/j3j++AFXlI//yFD955fD0f6lIHOsZpMNjzd29RlWHgRuAR0j2p7lbVXeIyE0istnd6Lyle2CY1uN9BTGe6kLl1FaX0VKEibrE7QAms375fB684SL+5LYX+PSdLxGLO3z+Pc0EivztfqEUftymqg8DD4/72o2TXPuufMTkRbHRwnRhtCKIhENEi3DlhyfvqNPqQuXc8YlNXPW2lXz3sd1c/8NtOP1DboflqhaP92QwhcXrPT7Gi4RD7Gpzim5Hs6cTNUBZSYBv/85buOmKM3ks1sHv/PNT7DtSvA3EY20OC6tKqQt5q7m7KUwtbQ5VZUGWL6h0O5SMROpD9A6OcPB4cW2Q83yihuTmmI+9vZEf/sH5dHQPcMXNT/LEruLcHJMuJHqtubspTNF4F831oYKZUoyEi3PlR0Ek6rQLTl/M1k9dRHheBR/7wbP84InXi2pzTCKhtMSdgnmbarxNVYkV2HhqLtIlegWVqAEaaqv48Scv4JIz6rnpodf44r2vMjA84nZYeXGos4+ewZGCKfwYb+twBjjeO1RQhenq8hIaFlUVXUGx4BI1QE15Cf9y7Vv5zLubuOeFVq6+5RnaHf+3a4jZ1nGTRYXaiqAYt5IXZKKGZJOWz7+nme9tOY+dbzhs/qcnebW10+2wciqWuototsMCTBakGxxFCmzzVKQ+xOtHeormnTQUcKJOu+wtS/nxn1xAMCD87r88zYMvH3I7pJyJppq7hzza3N0UlmjcYXFNObU1hbWCKBIOMZJQ9rQXz+qvgk/UAOuWzWPrDRdyzsoFfPaul/n2T3cy4sN1lrF4V0EVfoy3FVohMW30EIG24jlEwBeJGqC2ppzb/nAjH920in/9r7384f95ni4fbY4ZHE6wt6On4OYTjTeNJNTzp7pMpnFxNWXBQFH1/PBNogYoDQb4xpXr+daH1vPrXUe48uYn2dvhjzPW9h7pZjihBfmLZbxn/9EeBoYTBTmeSoMB1iypKaqCoq8SddqWjau4/Q830tk7xBU3P8mvYu1uhzRntuLDZFOhFhLTIvWWqH1h42m1bL3hQlYsrOIPbn2eWx7fU9CbY6Kp5u6nLbYVH2buonEHEQq2XW4kPI83TvRzos8/05tTmTZRi0iFiDwnIq+IyA4R+Xo+AsuGFQur+PGfvJ3L1i/lLx+O8vm7X6F/qDCX9MTiDmvqajzf3N0UhljcYdWiKirLgm6HMivpgmKxnKGYyW/9AHCxqp4NnANcKiKbchtW9lSVlfDda87lC+9p5v6XDvH7//o08ROFtzkmViDN3U1hKPTxVGyHCEybqHpWpsoAABDuSURBVDUpXZErTf0pqDkEEeHT727ilo++ld3t3Wz+7hO8dOC422FlzOkf4lBnX0H/Yhnv6B8aYd/RnoJuRbB0fgWhihJi8eJYopfR+2gRCYrIy0A78KiqPjvBNZ4/rfm9Z4a5/1MXUlEa5A9ufZ5jPYNuh5SRQi/8GG/Z3d5NQgt7PIkIkfri2UqeUaJW1RFVPYfkIaHni8j6Ca4piNOam+tD/NvHNuD0D/NXP426HU5GCrUng/Emv4yndM+PQl4kkKkZVaZUtRP4FXBpTqLJk0g4xHUXreZH2w7ywv5jboczrVjcoaa8hBULC6O5u/G2WLyLspIAjbVVbocyJ2vDIbr6h4l3FV7NaaYyWfVRJyILUh9XApcAhXErOoXPvLuJZfMr+PP7tzM8knA7nCklDwuoscMCTFZE4w5NS2ooCRb2CqL0HHsxFBQz+UktBR4TkVeB50nOUT+U27Byr7q8hK9tPpNo3OHWp/a5Hc6kVNNbfQu38GO8paXNKej56bRIER0iMO0p5Kr6KnBuHmLJu/euq+fitUv4zqMtfOCspSyd772phXZngM7eISLW2tRkQWfvIG1dAwU/Pw0wv6qU8LyK0QOf/ayw3/vMkYjw9c1nMqLKTT95ze1wJvRm4cfuqM3c+aWQmBYJh2zqoxisXFTFpy9u4qfb4zzmwZ4g6XWihdiO0nhPeppgrU9e+NeGQ+zu6PZ8nWmuij5RA3ziHaexpq6arz24w3NbzKNxhyWhchZWl7kdivGBaNxhfmUp9fMK67CAyUTCIQaHE+w76u9DBCxRA2UlAb5xxXoOHOvlnx/b7XY4JynUnsHGm9KFRL+sIEo3lfL79Icl6pQLTl/Mlecs41/+a69neliPJJRdbd2+qNAb96kqLQXe42O805fUEAyI7wuKlqjH+PMPrKO8NMCND+7wxG6nfQXc3N14z6HOPpyBYV+Np4rSII21VXZHXUzqQuV88X0Rnth9hJ+8+obb4fiu8GPc9eZ48k+ihuTvR8zn7U4tUY9zzcZVnLViPt946DXXz1yMpZq7N9kaapMF6bvOZp8l6kg4xIFjvfQODrsdSs5Yoh4nGBC+eeV6jnQP8Hc/b3E1lljcobG2morSwmzu7iYRuVREYiKyW0S+NMH3Py8ir4nIqyLyCxFZ5Uac+dTS5rBsfgXzKkrdDiWrmutDqEJLmzdqS7lgiXoCZ61YwEc3reL/Pr2P7YdOuBZHzCdbffNNRILAzcBlwDrgahFZN+6yl4ANqnoWcC/w1/mNMv8K/bCAyYye9uLjeWpL1JP4wnsjLKou58/v/w0jifwXFvsG083d/feLlQfnA7tVda+qDgJ3AVeMvUBVH1PV3tSnz5Bs4etbQyMJ9nR0+3KHa8OiKipLg74uKFqinsT8ylK+evkZvNJ6gjufO5D359/V7qDqv8JPniwHDo75vDX1tclcB/x0om8UwoEYmdjb0cPQiPpyPAUCQnN9DbE2/572Yol6CpvPXsYFa2r5659F6XAG8vrcMZ/1ZMiziXZzTPi2SESuBTYAfzPR9wvlQIzpRFOtCPw6ntKHCPiVJeopiAg3XbGevqERvv3wzrw+dyzuUF4SYFVtdV6f1ydagZVjPl8BHB5/kYhcAvw5sFlV8/tKnGctbQ7BgHBanT/HU3N9iCPdgxzp9ueP0RL1NE5fUsMfvXMN9710iGf2Hs3b88baHJrqk7uuzIw9DzSJyGoRKQOuAraOvUBEzgX+lWSS9l43riyLxR1OW1xNeYk/VxCl9xr4taBoiToDN1x8OisXVfKVB7YzOJyfLl3RuEOk3n+Fn3xQ1WHgBuARYCdwt6ruEJGbRGRz6rK/AWqAe0TkZRHZOsnD+ULUpys+0tL/b34tKFqizkBFaZCvbz6T3e3dfP+JvTl/vmM9g3Q4A74s/OSLqj6sqs2qukZVv5X62o2qujX18SWqWq+q56T+bJ76EQtX98Awrcf7fD2e6kLl1FaX+Xae2hJ1hi5eW8/7zqznH3+xi4PHeqf/C3NghUSTTenx1OzzNfnN9SGiPt1Kbol6Br72wTMJiPD1n+zI6fPEfF6hN/nV0lYcPWMi4RC72hwSLux7yDVL1DOwbEEln7ukif/c2c6jr7Xl7HlibQ4LqkpZEvJHc3fjrljcoaosyIqF3jsTNJvWhkP0Do7QerzP7VCybtpELSIrReQxEdkpIjtE5LP5CMyrPn7haiL1If5i646cNYFJFhL909zduCsa76K5PkTA5yuI3iwo+m/jSyZ31MPAF1T1DGAT8KkJ+iYUjdJggG9+aD2HOvv4x19k/zSYRCLZ3N3PhR+TP6pKrEjGU3oO3o8FxWkTtaq+oaovpj52SC53mmo7ru+9rXERv/vWFXz/13tH5/+y5VBnHz2DI75rRWnc0eEMcLx3yPeFRIDq8hJWLqr0ZUFxRnPUItIInAs8O8H3fNETIVNffv8Z1FSU8JUHtmf1NBi/Nnc37oi1Fdd4itTP8+Wml4wTtYjUAD8GPqeqp0wC+aUnQqYWVZfxPy5dy3OvH+O+Fw9l7XHTv1jFcAdkcq/YlnquDYfYe6SHgeERt0PJqowStYiUkkzSt6vqfbkNqXD8/oaVnNewgL98eCedvYNZecxo3GH5gkpCPmvubtwRjTssrimntqY4VhBFwiFGEsqe9h63Q8mqTFZ9CPDvwE5V/bvch1Q4AgHhm1e+hc6+If76kVhWHjMW7yqat6km94qlkJiW/n/1W8vTTO6oLwQ+Clyc6onwsoi8P8dxFYx1y+bx3y9o5M7nDvDSgeNzeqzB4QR7O3qskGiyYiSh7Gp3imoarXFxNaVB8V3Pj0xWfTyhqqKqZ43pi/BwPoIrFH/6nmaWhMr5ygPbGR6ZfdOmvUe6GU74s7m7yb8Dx3rpH0oU1XgqDQZYU1fju4Ki7UzMgpryEm68/Ex2HO7ih8/sn/XjFFvhx+RWsbYiWOvDQwQsUWfJ+98S5p3Ndfztz1to6+qf1WNE4w4lAeG0xTVZjs4Uo2jcQaT4VhBFwvM4fKKfE31DboeSNZaos0REuGnzmQyOJPjGQ6/N6jFicYc1dTWUldiPxcxdLO6walEVlWX+PCxgMqOnkvto44tlhCxqXFzNp951Og+9+ga/3jXzTT+xuGOFRJM1sbbiKiSmNfvwEAFL1Fn2R791Go21Vdz44A76hzJfdO/0D3Go09/N3U3+9A+NsO9IT1GOp2XzKwhVlPiqoGiJOssqSoN848r1vH6kh3/9r8xPg0m/TYsU4R2Qyb7d7d0kNDlfW2xEhEi9vwqKlqhz4B1NdVx+1lJu/tVu9h3JbIdU1FZ8mCwq9vEUCYeIxruy2ofHTZaoc+Srl6+jLBjgxq07MhosLXGH6iJo7m7yIxbvoqwkQGNtlduhuGJtOERX/zDxWa7A8hpL1DlSP6+Cz7+nmcdbOvjp9vi010dThUQ7LMBkQ6ytm9PraigJFueveLqI6peCYnH+FPPkY29fxbql87jpJ6/RPTD5aTCqSqytuHoymNwq9p4x6fMh/VJQtESdQyXBAN/60HranH6+82jLpNe1OwN09g5ZIdFkRWfvIG1dA0U7Pw0wv6qU8LwK3xQULVHn2LkNC7n6/AZufWofrx2euKPXm4Wf4qvQm+wr9kJiWrKgaInaZOiL74uwoLKUrzzwmwmPsm+xXyyTRdYzJikSDrG7o3tOjdK8whJ1HiyoKuPL7z+DFw90cve2g6d8Pxp3qAuVs6i6zIXojN/E2hzmVZQQnlfhdiiuitSHGBxOsO9or9uhzJkl6jz58HnLOX/1Iv7Xz6Ic6zn5NJhYW3EXfkx2JQ8LmFf0K4jS7yj8ME9tiTpPRIRvXrme7v5hvv3wztGvjySUXW3dVkg0WaGqtMSdop/2ADh9SQ3BgIy2ey1klqjzqLk+xB++4zTueaGV5/cdA2Df0R4GhhP2i2Wy4lBnH87AsI0nku0cGmurfFFQtESdZ5959+ksX1DJV+7fztBIwgqJJquskHiySDhEzAftTi1R51lVWQlf++A6Ym0O//Hk66PN3ZuW2C+Wmbt0UirG9qYTidTP48CxXnoHJ99wVggyOYX8ByLSLiLb8xFQMXjvmWEuOWMJf/+fu3h8VweNtdVF19w910TkUhGJichuEfnSBN8vF5Efpb7/rIg05j/K7IvFHZbNr2B+ZanboXhCJBxCFXa1dbsdypxkckd9K3BpjuMoOl/74JkkVHnpQKcVErNMRILAzcBlwDrgahFZN+6y64Djqno68B3gr/IbZW7ErJB4krU+WflRMt0Fqvq4X+42vGTloio+fXETf/NIzH6xsu98YLeq7gUQkbuAK4CxZ6RdAfxF6uN7ge+KiOgs+mJ++6c7+eXO9rlFnCV7Orp5V2SJ22F4RsOiKipKA/zVz6L8268z7w+fS/90zbmjvUgyNW2izpSIXA9cD9DQ0JCth/W1T7zjNLr6h/jQucvdDsVvlgNjdxa1Ahsnu0ZVh0XkBFALHBl7USbjOjyvgqZ6bxxIvHbpPD58no2ntEBA+LP3reWF/cfcDmVURcnMpzmzlqhV9RbgFoANGzb4o1t3jpWVBPjyZWe4HYYfTbTTY/yYzOSajMb1xy9czccvXD3TGE2eXHfRaq67qLB/Prbqw/hRK7ByzOcrgMOTXSMiJcB8wDu3XcaMYYna+NHzQJOIrBaRMuAqYOu4a7YC/y318UeAX85mftqYfMhked6dwNNARERaReS63IdlzOyp6jBwA/AIsBO4W1V3iMhNIrI5ddm/A7Uishv4PHDKEj5jvCKTVR9X5yMQY7JJVR8GHh73tRvHfNwP/G6+4zJmNmzqwxhjPM4StTHGeJwlamOM8ThL1MYY43GSixVJItIB7J/gW4sZt/PLRRbLqbwSB0wdyypVrctnMDDluIbC+bfLJ6/EAd6JZVbjOieJejIisk1VN+TtCadgsXg3DvBWLJnwUrxeicUrcYB3YpltHDb1YYwxHmeJ2hhjPC7fifqWPD/fVCyWU3klDvBWLJnwUrxeicUrcYB3YplVHHmdozbGGDNzNvVhjDEeZ4naGGM8Lm+JerrDRvMYhycO6xWRlSLymIjsFJEdIvJZF2OpEJHnROSVVCxfdyuWVDxBEXlJRB5yM45M2dg+JQ5PjG2vjetUTLMa23lJ1BkeNpovt+KNw3qHgS+o6hnAJuBTLv6bDAAXq+rZwDnApSKyyaVYAD5Lsj2p59nYnpBXxrbXxjXMcmzn64569LBRVR0E0oeN5p2qPo4HTvJQ1TdU9cXUxw7JH54rh91pUnfq09LUH1eqzCKyAvgA8H03nn8WbGyfGocnxraXxjXMbWznK1FPdNioncCZkjrl/VzgWRdjCIrIy0A78KiquhXL3wNfBBIuPf9M2diegttj20PjGuYwtvOVqDM6SLQYiUgN8GPgc6ra5VYcqjqiqueQPF/wfBFZn+8YRORyoF1VX8j3c8+Bje1JeGFse2Fcw9zHdr4SdSaHjRYdESklOZBvV9X73I4HQFU7gV/hzlznhcBmEdlHcgrhYhG5zYU4ZsLG9gS8NrZdHtcwx7Gdr0SdyWGjRUVEhOS5fTtV9e9cjqVORBakPq4ELgGi+Y5DVb+sqitUtZHkGPmlql6b7zhmyMb2OF4Z214Z1zD3sZ2XRD3ZYaP5eO7xPHRY74XAR0m+sr6c+vN+l2JZCjwmIq+STDyPqmpBLI1zm43tCXllbPtmXNsWcmOM8TjbmWiMMR5nidoYYzzOErUxxnicJWpjjPE4S9TGGONxlqiNMcbjLFEbY4zH/X+Iifn1FY1HigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "a = [4,3,1,8,5]\n",
    "b = [0,0,1,0,0]\n",
    "conv(a,b)\n",
    "\n",
    "plt.figure(1)\n",
    "plt.subplot(1, 2, 1) #图一包含1行2列子图，当前画在第一行第一列图上\n",
    "plt.title('a')\n",
    "plt.plot(a)\n",
    "\n",
    "plt.figure(1)\n",
    "plt.subplot(1, 2, 2)#当前画在第一行第2列图上\n",
    "plt.title('b')\n",
    "plt.plot(b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa2695faed0>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(conv(a,b))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "同加减乘除一样，卷积作为一种计算操作，也有如下几种性质：\n",
    "1. 交换律：$f(x) * k(x) = k(x) * f(x)$；\n",
    "2. 结合律：$[f(x) * g(x)] * k(x) = f(x) * [g(x) * k(x)]$；\n",
    "3. 分配律：$f(x) * [g(x) + k(x)] = f(x) * g(x) + f(x) * k(x)$。\n",
    "\n",
    "<!-- 4. 微分:$\\frac{d}{dx}[f(x) * k(x)] = \\frac{df(x)}{dx} * k(x) = f(x) * \\frac{dk(x)}{dx}$ -->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 二维卷积"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一副数字图像可以看作一个二维空间的离散函数，可以表示为$f(x, y)$。假设图像宽为a，高为b，设置卷积核k(x,y)(在某些情况下，卷积核$k(x,y)$也被称为“滤波器”)，可以得到二维卷积的公式：\n",
    "$$k(x,y) * f(x,y) = \\sum_{s=-a}^{s=a}\\sum_{t=-b}^{t=b}f(x-s,y-t)k(s,t)$$\n",
    "\n",
    "我们将卷积的概念从一维扩展到二维，其结果非常类似，只不过变成了矩阵的“卷和”操作。卷和就是离散的卷积，卷积是积分，而卷和是点与点的乘法和加法。一个二维图像 (矩阵) 同一个二维滤波器卷积的过程是这样的：\n",
    "1. 将二维滤波器对应的矩阵水平翻转，竖直翻转。\n",
    "2. 把这个滤波器矩阵，覆盖到图像上方。\n",
    "3. 将滤波器矩阵的每一个元素，同下方图像的每一个元素相乘，再把所有的乘积加起来，并不断移动这个滤波器矩阵。\n",
    "\n",
    "下图描述了二维卷积的计算过程：\n",
    "<img src='2w1.jpeg'>\n",
    "<img src='2w2.jpeg'>\n",
    "\n",
    "不难发现，由于卷积核的大小限制，我们没法直接对左上角的像素点“105”进行卷积操作。因此，在计算最边缘的一行和一列的输出结果时，我们一般对原矩阵外围补零，再进行矩阵的卷和操作。\n",
    "<img src='2w3.jpeg'>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为了更直观的展示卷积在图片处理上的效果，我们先导入一张图片，并将其转化为灰度照片："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 255.5, 255.5, -0.5)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from PIL import Image\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "img = Image.open('lena.BMP')\n",
    "plt.axis(\"off\")\n",
    "plt.imshow(img)\n",
    "\n",
    "# 以灰度显示图片\n",
    "gray = img.convert('L')\n",
    "plt.figure()\n",
    "plt.imshow(gray, cmap='gray')\n",
    "plt.axis('off')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将图片转换成矩阵的形式保存："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[171, 171, 169, ..., 180, 183, 145],\n",
       "       [171, 171, 169, ..., 180, 183, 145],\n",
       "       [173, 167, 169, ..., 166, 157, 111],\n",
       "       ...,\n",
       "       [ 25,  26,  30, ...,  65,  81,  80],\n",
       "       [ 17,  24,  25, ...,  81,  93,  88],\n",
       "       [ 17,  27,  25, ...,  93,  93,  98]], dtype=uint8)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 将图片转化为numpy矩阵\n",
    "\n",
    "import numpy as np\n",
    "np.array(img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "定义卷积核："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#定义卷积核（3*3）\n",
    "k = np.array([\n",
    "    [0,1,2],\n",
    "    [2,2,0],\n",
    "    [0,1,2]\n",
    "])\n",
    "\n",
    "data = np.array(img)\n",
    "n,m = data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据二维卷积的定义，我们编写二维卷积函数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义二维卷积\n",
    "def convolution(k, data):\n",
    "    n,m = data.shape\n",
    "    img_new = []\n",
    "    for i in range(n-3):\n",
    "        line = []\n",
    "        for j in range(m-3):\n",
    "            a = data[i:i+3,j:j+3]\n",
    "            line.append(np.sum(np.multiply(k, a)))\n",
    "        img_new.append(line)\n",
    "    return np.array(img_new)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将图片与卷积核进行卷积操作，并展示图片："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 252.5, 252.5, -0.5)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_new = convolution(k, data)#卷积过程\n",
    " \n",
    "#卷积结果可视化\n",
    "plt.imshow(img_new, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来我们展示另外两种不同的卷积核，并展示他们的作用："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 垂直边缘检测\n",
    "k1 = np.array([\n",
    "    [1,0,-1],\n",
    "    [1,0,-1],\n",
    "    [1,0,-1]\n",
    "])\n",
    "\n",
    "# 水平边缘检测\n",
    "k2 = np.array([\n",
    "    [1,1,1],\n",
    "    [0,0,0],\n",
    "    [-1,-1,-1]\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 252.5, 252.5, -0.5)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_new = convolution(k1, data)#卷积过程\n",
    " \n",
    "# k1卷积结果可视化\n",
    "plt.imshow(img_new, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 252.5, 252.5, -0.5)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_new = convolution(k2, data)#卷积过程\n",
    " \n",
    "# k2卷积结果可视化\n",
    "plt.imshow(img_new, cmap='gray')\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "除此之外，你也可以仿照上面的过程，自己动手设置卷积核，并在图片上测试。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
